To find the sum of \( \frac{1}{8} \) cup of cinnamon and \( \frac{1}{2} \) cup of sugar, we first need to express each fraction with a common denominator.
The fractions are:
- \( \frac{1}{8} \)
- \( \frac{1}{2} \)
The common denominator for 8 and 2 is 8. To convert \( \frac{1}{2} \) to a fraction with a denominator of 8, we can multiply both the numerator and denominator by 4:
\[ \frac{1}{2} = \frac{1 \times 4}{2 \times 4} = \frac{4}{8} \]
Now we can add the two fractions:
\[ \frac{1}{8} + \frac{4}{8} = \frac{1 + 4}{8} = \frac{5}{8} \]
So, \( \frac{1}{8} + \frac{1}{2} = \frac{5}{8} \).
Interpretation: The sum \( \frac{5}{8} \) cup represents the total amount of the cinnamon and sugar mixture that Micah is making for his toast.